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Finding the Fourth Proportional to 1,839.32, 2,538.20 and 1,000.02

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Solution

The fourth proportional to 1,839.32, 2,538.20 and 1,000.02 is: 1,379.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,839.32 : 2,538.20 = 1,000.02 : x
  2. Step 2: Convert to fraction form
    1,839.32/2,538.20 = 1,000.02/x
  3. Step 3: Cross multiply
    1,839.32x = 2,538.20 × 1,000.02
  4. Step 4: Simplify right side
    1,839.32x = 2,538,250.76
  5. Step 5: Solve for x
    x = 2,538,250.76/1,839.32
  6. Step 6: Final answer
    x = 1,379.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.